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422517690 = 23257313687
BaseRepresentation
bin11001001011110…
…001101110111010
31002110001010022100
4121023301232322
51331131031230
6105532004230
713320225000
oct3113615672
91073033270
10422517690
111a7555881
12b9600676
13696c698a
1440186a70
1527160660
hex192f1bba

422517690 has 96 divisors (see below), whose sum is σ = 1281196800. Its totient is φ = 96568416.

The previous prime is 422517673. The next prime is 422517691. The reversal of 422517690 is 96715224.

It is a super-2 number, since 2×4225176902 = 357042396725872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422517691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24027 + ... + 37713.

It is an arithmetic number, because the mean of its divisors is an integer number (13345800).

Almost surely, 2422517690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422517690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640598400).

422517690 is an abundant number, since it is smaller than the sum of its proper divisors (858679110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422517690 is a wasteful number, since it uses less digits than its factorization.

422517690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 422517690 is about 20555.2350996042. The cubic root of 422517690 is about 750.3806600978.

The spelling of 422517690 in words is "four hundred twenty-two million, five hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 13687 15435 27374 30870 41061 68435 82122 95809 123183 136870 191618 205305 246366 287427 410610 479045 574854 615915 670663 862281 958090 1231830 1341326 1437135 1724562 2011989 2874270 3353315 4023978 4311405 4694641 6035967 6706630 8622810 9389282 10059945 12071934 14083923 20119890 23473205 28167846 30179835 42251769 46946410 60359670 70419615 84503538 140839230 211258845 422517690